2. Louis inserts a 12-track CD into a CD player and presses the random play button. This CD player's random function chooses each track independently of any previously played tracks. a. What is the probability, that the player will select Louis's favourite track rst? b. What is the probability that he will not hear his favourite track within the rst three selections? c. What is the expected waiting time before Louis hears his favourite track? d. If Luis plays 5 songs on his way to work, what is the probability that he will hear his favourite song today"? it? e. Explain what probability models did you use for parts a],b] and c}. Why does it work? f. Did you use the same probability model in part d? Why or why not